Built-in Mathematica Symbol

Median

Median[list]
gives the median of the elements in list.

Median[dist]
gives the median of the symbolic distribution dist.

Median[list] gives the center element in the sorted version of list, or the average of the two center elements if list is of even length.

Median[{{x₁, y₁, ...}, {x₂, y₂, ...}, ...}] gives {Median[{x₁, x₂, ...}], Median[{y₁, y₂, ...}]}.

Find the middle value in the list:

Average the two middle values:

Median of a symbolic distribution:

Find the middle value in the list:

Average the two middle values:

Median of a symbolic distribution:

Median works with any real numeric quantities:

Median finds medians of elements in each column:

Obtain results at any precision:

Compute results for a large vector or matrix:

Compute results for a SparseArray:

Obtain a robust estimate of location when outliers are present:

Extreme values have a large influence on the Mean:

Medians of random reals approach a Gaussian distribution:

Theoretical curve:

Median is equivalent to a parametrized Quantile:

For nearly symmetric samples, Median and Mean are nearly the same:

The Median of absolute deviations from the Median is MedianDeviation:

MovingMedian is a sequence of medians:

Median requires numeric values: